$12-94.$ The simply supported beam is subjected to a uniform load of $2$ kip$/$ft$.$ Code restrictions, due to a plaster ceiling, require the maximum displacement not to exceed $1/360$ of the span length. Select the lightest$-$weight A$-36$ steel wide$-$flange beam from Appendix B that will satisfy this requirement and safely support the load. The allowable bending stress is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=24$ksi and the allowable shear stress is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=14$ksi. Assume $A$ is a pin and $B$ a roller support.

Problem $12-94$